Question

6. (a) The quantum number n describes the of an atomic orbital and the quantum number l describes its _____

(b) When n = 4, the possible values of l are:

(c) What type of orbital corresponds to l = 2?

(d) What type of atomic orbital has 0 nodal planes?

(e) The maximum number of orbitals that may be associated with the quantum number set n = 3, l = 2, and ml = 1 is

(f) How many subshells are in the n = 4 shell?

(g) How many orbitals are in the n = 4 shell?

(h) How many orbitals are in the l = 2 subshell?

(i) The maximum number of orbitals that may be associated with the quantum numbers n = 3 and l = 2 is

Answer 1

6.

a)

The quantum number n describes the size of an orbital and the quantum number describes its shape.

b)

Value of l = 0 to (n-1)

When, n = 4, l = 3 ,2,1, 0.

c)

l = 2 means d orbital.

d)

S orbital has 0 nodal planes.

e)

Each m_l indicates one orbital.

Hence, maximum number of orbitals that may be associated with the quantum number set n= 3, l= 2, m_l = 1 is one.

f)

n = 4 has 4 subshell, s subshell p subshell , d and f subshell

g)

n = 4.

So, l = 3, 2, 1, 0.

l = 3, No of orbitals = 2l +1 = 7

l= 2 , no of orbitals = 2l+1 = 5

l = 1, no of orbitals = 2l +1 = 3

l = 0, no of orbitals = 2l +1 = 1

Total number of orbitals = (7+5+3+1) =16.

h)

l = 2

No of orbitals = 2l +1 = 2×2 +1 = 5

(i)

l = 2

Number of orbitals = 2×2 +1 = 5.

So, thereare five orbitals assocuated with n= 3, l = 2.